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Simplifying X + -4x + -7 = 5x(x + 21) Reorder the terms: -7 + X + -4x = 5x(x + 21) Reorder the terms: -7 + X + -4x = 5x(21 + x) -7 + X + -4x = (21 * 5x + x * 5x) -7 + X + -4x = (105x + 5x2) Solving -7 + X + -4x = 105x + 5x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + X + 7 + -4x = 105x + 7 + 5x2 Reorder the terms: -7 + 7 + X + -4x = 105x + 7 + 5x2 Combine like terms: -7 + 7 = 0 0 + X + -4x = 105x + 7 + 5x2 X + -4x = 105x + 7 + 5x2 Reorder the terms: X + -4x = 7 + 105x + 5x2 Add '4x' to each side of the equation. X + -4x + 4x = 7 + 105x + 4x + 5x2 Combine like terms: -4x + 4x = 0 X + 0 = 7 + 105x + 4x + 5x2 X = 7 + 105x + 4x + 5x2 Combine like terms: 105x + 4x = 109x X = 7 + 109x + 5x2 Simplifying X = 7 + 109x + 5x2
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